Properties of the Number 12756

Twelve Thousand Seven Hundred Fifty-Six

Basics

Value: 12755 → 12756 → 12757

Parity: even

Prime: No

Previous Prime: 12743

Next Prime: 12757

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1063

Divisors: 1, 2, 3, 4, 6, 12, 1063, 2126, 3189, 4252

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111010100

Octal: 30724

Duodecimal: 7470

Hexadecimal: 31d4

Square: 162715536

Square Root: 112.942463227964

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of 2's in all partitions of n. A24786

Numbers n such that the decimal expansions of both n and n² have 1 as smallest digit and 7 as largest digit. A257210

Expansion of φ(-q⁵) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A138526

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237324

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B). A7258

McKay-Thompson series of class 6E for the Monster group with a(0) = 3. A105559

McKay-Thompson series of class 6E for the Monster group with a(0) = 4. A128633

McKay-Thompson series of class 6E for the Monster group with a(0) = -5. A128632

Number of endless self-avoiding walks of length n for the face centered cubic lattice. A334334

Number of positive numbers m such that A073642(m) = n. A87135